Multiple choice

What is the total profit or loss percentage made by shopkeeper? Statement I - The shopkeeper mixed Rs. 38 per kg 4kg rice with Rs. 34 per kg rice and sells the total rice at Rs. 36 per kg. Statement II - shopkeeper sell total 9 kg of rice and also give 950gm rice in place of 1kg. A. Only Statement I alone. B. Only Statement II alone. C. Both Statements I and II together. D. Neither Statement I nor II is sufficient. E. Either Statement I or II.

  1. A

  2. B

  3. C

  4. D

  5. E

Reveal answer Fill a bubble to check yourself
C Correct answer
AI explanation

Statement I alone is insufficient because it does not specify the exact quantity of the 34 per kg rice used to determine the total cost price, and Statement II alone is insufficient because it provides no cost price information. Using both statements together, Statement I allows us to find the cost price per kg by equating the total cost of 4 kg at 38 rupees and 5 kg at 34 rupees, yielding 126 rupees divided by 9 kg for a cost price of 14 rupees per kg, which is then combined with the selling price information from Statement II. Statement II provides the effective selling price per kg by dividing 36 rupees by 1.05, which accounts for giving only 950 grams instead of 1 kilogram, yielding an effective selling price of 34.29 rupees per kg. With both the cost price and effective selling price established, the profit or loss percentage can be calculated, meaning both statements together are required.